Question 7540
Write the proportion:

{{{p = k*sqrt(l)}}} Substitute the given values of p (2 secs) and l (6 ft.) and solve for k.

{{{2 = k*sqrt(6)}}}

{{{k = 2/sqrt(6)}}} Now you can write:

{{{sqrt(l) = p/k}}} Square both sides to find l.
{{{l = (p/k)^2}}} Now substitute the values for {{{p =(1 sec)}}} and {{{k =2/sqrt(6)}}} then solve for l.

{{{l = (1/(2/sqrt(6)))^2}}}

{{{l = (sqrt(6)/2)^2}}}

{{{l = 6/4}}}

l = 1.5 ft.